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梁兴单位:数学科学学院地址:安徽合肥中国科学技术大学数学系邮编:230026电话:+86-551-3600217个人主页:http://math.ustc.edu.cn/new/teachersinfo1.php?id=29实验室介绍:
个人简历 Personalresume研究方向:1.非线性分析2.应用分析3.抛物方程4.无穷维动力系统
目前主要兴趣:非均衡与随机介质中的行波现象。含有空间结构的系统(主要由抛物方程及类似方程生成)的动力学的精细刻划。生态学、传染病学及材料学中应用。
主要工作1.(withXiaotaoLinandHiroshiMatano),Avariationalproblemassociatedwiththeminimalspeedoftravellingwavesforspatiallyperiodicreaction-diffusionequations,Trans.Amer.Math.Soc.,5605-5633,2010.2.(withXiaoqiangZhao),Spreadingspeedsandtravelingwavesforabstractmonostableevolutionsystems,JournalofFunctionalAnalysis,259857–903,20103.(withXiaoqiangZhao),AsymptoticSpeedsofSpreadandTravelingWavesforMonotoneSemiflowswithApplications,CommunicationsonPureandAppliedMathematics,Vol.60,1–40,2007.4.(withJifaJiang),CompetitivesystemswithmigrationandthePoincare-Bendixsontheoremfora4-dimensionalcase,QuarterlyofAppliedMathematics,Vol.64,483-498,2006.5.(withYihongDu),SpatiallyAdiffusivecompetitionmodelwithaprotectionzone,J.DifferentialEquations,Vol.244,61-86,2008.6.(withJifaJiangandXiaoqiangZhao),SaddlePointBehaviorforMonotoneSemiflowsandReaction-DiffusionModels,J.DifferentialEquations,Vol.203,313—330,2004.7.(withYingfeiYiandXiao-qiangZhao),Spreadingspeedsandtravelingwavesforperiodicevolutionsystems,JournalofDifferentialEquations,Vol.231,Issue1,57-77,2006.8.XingLiangandJifaJiang,Discreteinfinitedimensionaltype-Kmonotonedynamicalsystemsandtime-periodicreactiondiffusionsystems,J.DifferentialEquations,Vol.189,no.1,318-354,2003.9.XingLiangandJifaJiang,Onthefinitedimensionaldynamicalsystemswithlimitedcompetition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.
研究方向 Researchdirection1、非线性分析/应用分析2、抛物方程3、无穷维动力系统 |
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